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Finding the Fourth Proportional to 138,814.60, 207,930.30 and 76,412.20

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Solution

The fourth proportional to 138,814.60, 207,930.30 and 76,412.20 is: 114,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,814.60 : 207,930.30 = 76,412.20 : x
  2. Step 2: Convert to fraction form
    138,814.60/207,930.30 = 76,412.20/x
  3. Step 3: Cross multiply
    138,814.60x = 207,930.30 × 76,412.20
  4. Step 4: Simplify right side
    138,814.60x = 15,888,411,669.66
  5. Step 5: Solve for x
    x = 15,888,411,669.66/138,814.60
  6. Step 6: Final answer
    x = 114,457.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.